CBSE Class 7 Mathematics Number Play MCQs Set 07

Question. A number is divisible by 2 if it ends in:
(a) 3
(b) 7
(c) 0
(d) 5

Answer: C

Question. How many 6-beat rhythms (sums of 1s and 2s) are there?
(a) 8
(b) 5
(c) 13
(d) 21

Answer: C

Question. Who was the great Prakrit scholar who first gave the systematic method for counting these rhythms around 700 CE?
(a) Fibonacci
(b) Hemachandra
(c) Gopala
(d) Virahāṅka

Answer: D

Question. Angaan wants to climb an 8-step staircase taking 1 step or 2 steps at a time. The total number of different ways he can reach the top is found by taking which element of the Virahāṅka sequence?
(a) The 5th element
(b) The 6th element
(c) The 8th element
(d) The 13th element

Answer: C

Question. The 9th element in the Virahāṅka sequence (1, 2, 3, 5, 8, 13, 21, 34, ...) is what number?
(a) 34
(b) 55
(c) 89
(d) 144

Answer: B

Question. A number is divisible by 5 if it ends in:
(a) 3
(b) 2
(c) 0 or 5
(d) 7

Answer: C

Question. The next number after 89 in the Virahāṅka sequence is?
(a) 100
(b) 144
(c) 123
(d) 130

Answer: B

Question. What is the repeating pattern of parity (Odd/Even) in the Virahāṅka sequence (starting O, E, O, O, E...)?
(a) O, E
(b) O, E, O
(c) O, O, E
(d) E, O, O

Answer: C

Question. What is the parity of the 20th term of the Virahāṅka sequence?
(a) Odd
(b) Even
(c) Prime
(d) Cannot find

Answer: B

Question. The number of petals on a daisy flower is generally one of which kind of number?
(a) Prime number
(b) Even number
(c) Virahāṅka number
(d) Square number

Answer: C

Question. A number is divisible by 10 only if it ends in:
(a) 1
(b) 0
(c) 5
(d) 2

Answer: B

Question. In the cryptarithm T + T + T = UT, where T is a single digit and UT is a two-digit number, what is the value of T?
(a) 1
(b) 5
(c) 0
(d) 3

Answer: B

Question. In the cryptarithm T + T + T = UT, where T = 5, what is the value of U?
(a) 1
(b) 2
(c) 5
(d) 0

Answer: A

Question. Cryptarithm: K2 + K2 = HMM. Since 2+2=4, the letter M must correspond to what digit?
(a) 2
(b) 4
(c) 8
(d) 0

Answer: B

Question. The types of questions where digits are replaced by letters are called what?
(a) Digit riddles
(b) Parity problems
(c) Cryptarithms
(d) Algebraic puzzles

Answer: C

Question. A number is divisible by 3 if the sum of its digits is:
(a) An even number
(b) A multiple of 2
(c) A multiple of 3
(d) Ends in 3

Answer: C

Question. A light bulb is ON. Dorjee toggles its switch 77 times. What will be the final state of the bulb?
(a) ON
(b) OFF
(c) Flickering
(d) Cannot tell

Answer: B

Question. If a book starts with the light ON, and you toggle the switch an odd number of times (like 77), the final state is what?
(a) Always ON
(b) Always OFF
(c) Depends on the switch
(d) Cannot find

Answer: B

Question. Liswini took 50 loose sheets (50 odd pages, 50 even pages). The sum of all 100 page numbers is 6000. Is this sum possible based on parity?
(a) No, because odd + odd = even
(b) Yes, because 50 odd numbers summed is even, and 50 even numbers summed is even, so the total sum is even
(c) Yes, because 6000 is a very big number
(d) No, 50 sheets means an odd number of pages

Answer: B

Question. Lakpa has an odd number of ₹1 coins, an odd number of ₹5 coins, and an even number of ₹10 coins. He calculated the total money as ₹205. Did he make a mistake?
(a) Yes, because the total value must be even
(b) No, ₹205 is possible
(c) Yes, because ₹10 coins must make the last digit 0
(d) Depends on the actual number of coins

Answer: A